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1221111020100 = 2235243427322153
BaseRepresentation
bin10001110001001111111…
…000110111101001000100
311022201220022211001021210
4101301033320313221010
5130001313410120400
62332545355011420
7154136161261416
oct21611770675104
94281808731253
101221111020100
11430963377a44
121787ab739b70
138b1c520128a
14431601ba9b6
1521b6d267950
hex11c4fe37a44

1221111020100 has 144 divisors (see below), whose sum is σ = 3616255197632. Its totient is φ = 317968035840.

The previous prime is 1221111020093. The next prime is 1221111020137. The reversal of 1221111020100 is 10201111221.

It is a super-2 number, since 2×12211110201002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55110624 + ... + 55132776.

Almost surely, 21221111020100 is an apocalyptic number.

1221111020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221111020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808127598816).

1221111020100 is an abundant number, since it is smaller than the sum of its proper divisors (2395144177532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1221111020100 is a wasteful number, since it uses less digits than its factorization.

1221111020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26486 (or 26479 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1221111020100 its reverse (10201111221), we get a palindrome (1231312131321).

The spelling of 1221111020100 in words is "one trillion, two hundred twenty-one billion, one hundred eleven million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4273 4300 6450 8546 12819 12900 17092 21365 22153 25638 42730 44306 51276 64095 66459 85460 88612 106825 110765 128190 132918 183739 213650 221530 256380 265836 320475 332295 367478 427300 443060 551217 553825 640950 664590 734956 918695 952579 1102434 1107650 1281900 1329180 1661475 1837390 1905158 2204868 2215300 2756085 2857737 3322950 3674780 3810316 4593475 4762895 5512170 5715474 6645900 9186950 9525790 11024340 11430948 13780425 14288685 18373900 19051580 23814475 27560850 28577370 47628950 55121700 57154740 71443425 94659769 95257900 142886850 189319538 283979307 285773700 378639076 473298845 567958614 946597690 1135917228 1419896535 1893195380 2366494225 2839793070 4070370067 4732988450 5679586140 7099482675 8140740134 9465976900 12211110201 14198965350 16281480268 20351850335 24422220402 28397930700 40703700670 48844440804 61055551005 81407401340 101759251675 122111102010 203518503350 244222204020 305277755025 407037006700 610555510050 1221111020100